Ms Waters, from the left-wing Greens party, fed two-month-old daughter Alia Joy during a vote on Tuesday.

The lower house last year joined the Senate in allowing breastfeeding, but no MPs in either house had done so.

It followed a backlash in 2015 when Kelly O'Dwyer, a government minister, was asked to consider expressing milk to avoid missing parliamentary duties.

"We need more women and parents in Parliament," Ms Waters said on Facebook.

"And we need more family-friendly and flexible workplaces, and affordable child care, for everyone."

Flexibility urged

Labor Senator Katy Gallagher said the moment deserved to be acknowledged.

"Women have been doing it in parliaments around the world," she told Sky News Australia.

"Women are going to continue to have babies and if they want to do their job and be at work and look after their baby... the reality is we are going to have to accommodate that."

Until last year, MPs in the lower House of Representatives could take babies only into parliamentary offices or public galleries.

Politicians have been permitted to breastfeed in the Senate since 2003.

The subject is a sensitive issue in many parliaments around the world. In 2016, Spanish MP Carolina Bescansa, from the Podemos (We Can) party, was both criticised and commended for taking her baby into parliament and breastfeeding him.

Last year, a report on diversity in UK politics recommended that allowing breastfeeding in the House of Commons should be considered.

However, one MP in 2015 warned it could risk ridicule from the tabloid press.